﻿using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using V = Science.Mathematics.VectorCalculus;

namespace VectorCalculus5Ed.Chapter2.Section1
{
    public class Example06
    {
        public Example06()
		{
		}
		private string result;
		public string Result
		{
			get{return result;}
		}
        public void Compute()
        {
            V.Function.ToLastType<double, double, double, double[]> cf
                = new V.Function.ToLastType<double, double, double, double[]>(Circle);
            V.Domain3D xd = new V.Domain3D();
            xd.ConditionFunctionsLessThanZero = cf;
            xd.LowerBoundOfX = -1.0;
            xd.LowerBoundOfY = -1.0;
            xd.LowerBoundOfZ = -1.0;
            xd.UpperBoundOfX = 1.0;
            xd.UpperBoundOfY = 1.0;
            xd.UpperBoundOfZ = 1.0;

            V.Function.ToLastType<double, double, double, double> f
                = new V.Function.ToLastType<double, double, double, double>(func);
            V.LevelSurface ls = new V.LevelSurface(f, -0.1, xd);
            ls.FindSurface(0.1);
            for (int i = 0; i < ls.SurfacePointX.Count; i++)
            {
                double a = (double)ls.SurfacePointX[i] * (double)ls.SurfacePointX[i]
                    + (double)ls.SurfacePointY[i] * (double)ls.SurfacePointY[i]
                    - (double)ls.SurfacePointZ[i] * (double)ls.SurfacePointZ[i];
                result += ls.SurfacePointX[i].ToString() + "\t  ";
                result += ls.SurfacePointY[i].ToString() + "\t  ";
                result += ls.SurfacePointZ[i].ToString() + "\t  ";
                result += a.ToString() + "\r\n";
            }
        }
        private double func(double x, double y, double z)
        {
            return x * x + y * y - z * z;
        }
        private double[] Circle(double x, double y, double z)
        {
            double[] f = new double[1];
            f[0] = x * x + y * y + z * z - 10.0;
            return f;
        }
    }
}

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0.8	  -0.2	  0.882352941176471	  -0.0985467128027682
0.835294117647059	  -0.1	  -0.9	  -0.102283737024221
0.8	  -0.1	  -0.864705882352941	  -0.0977162629757785
0.8	  -0.1	  0.864705882352941	  -0.0977162629757785
0.841176470588235	  0	  -0.9	  -0.10242214532872
0.8	  0	  -0.858823529411765	  -0.0975778546712802
0.8	  0	  0.858823529411765	  -0.0975778546712802
0.835294117647059	  0.1	  -0.9	  -0.102283737024221
0.8	  0.1	  -0.864705882352941	  -0.0977162629757785
0.8	  0.1	  0.864705882352941	  -0.0977162629757785
0.817647058823529	  0.2	  -0.9	  -0.101453287197232
0.8	  0.26	  -0.9	  -0.1024
0.8	  0.2	  -0.882352941176471	  -0.0985467128027682
0.8	  0.2	  0.882352941176471	  -0.0985467128027682
0.9	  0.3	  -1	  -0.1
0.8	  0.3	  -0.910526315789474	  -0.0990581717451523
0.858823529411765	  0.4	  -1	  -0.10242214532872
0.8	  0.4	  -0.947368421052632	  -0.0975069252077563
0.805882352941176	  0.5	  -1	  -0.100553633217993
0.8	  0.509090909090909	  -1	  -0.100826446280992
0.8	  0.5	  -0.994736842105263	  -0.0995013850415513
*/
